What is the Greatest Common Factor of 70385 and 70405?

Greatest common factor (GCF) of 70385 and 70405 is 5.

GCF(70385,70405) = 5

We will now calculate the prime factors of 70385 and 70405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70385 and 70405.

How to find the GCF of 70385 and 70405?

We will first find the prime factorization of 70385 and 70405. After we will calculate the factors of 70385 and 70405 and find the biggest common factor number .

Step-1: Prime Factorization of 70385

Prime factors of 70385 are 5, 7, 2011. Prime factorization of 70385 in exponential form is:

70385 = 5¹ × 7¹ × 2011¹

Step-2: Prime Factorization of 70405

Prime factors of 70405 are 5, 14081. Prime factorization of 70405 in exponential form is:

70405 = 5¹ × 14081¹

Step-3: Factors of 70385

List of positive integer factors of 70385 that divides 70385 without a remainder.

1, 5, 7, 35, 2011, 10055, 14077

Step-4: Factors of 70405

List of positive integer factors of 70405 that divides 70385 without a remainder.

1, 5, 14081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70385 and 70405. The biggest common factor number is the GCF number.
So the greatest common factor 70385 and 70405 is 5.

Also check out the Least Common Multiple of 70385 and 70405